65/19 atom
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| Ratio | 272629760/272629233 |
| Factorization | 222 × 3-15 × 5 × 13 × 19-1 |
| Monzo | [22 -15 1 0 0 1 0 -1⟩ |
| Size in cents | 0.003346521¢ |
| Name | 65/19 atom |
| Color name | ss19u3oy2, sasa-nuthoyo 2nd |
| FJS name | [math]\text{d2}^{5,13}_{19}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 56.0447 |
| Weil height (log2 max(n, d)) | 56.0447 |
| Wilson height (sopfr(nd)) | 126 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19982 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
272629233/272629760, the 65/19 atom, is an unnoticeable comma in the 2.3.5.13.19 subgroup. It is the amount by which the 13-comma 6656/6561 ("tetris comma") exceeds the 19/5-comma 41553/40960 (an apotome above 19/16 lowered by 5/4). Their difference is small enough that sagittal accidentals equate the 13-comma with the 19/5 comma: the most accurate possible representation of the 13th harmonic in sagittal accidentals (as three octaves above a )/||| P5) accrues this 0.0033 ¢ error.
Alternatively, the 65/19 atom is the difference between the pythagorean comma 312/219 raised by 513/512 and the wilsorma 65/64.